Centrifugal force and friction

1. The problem statement, all variables and given/known data
A bug crawls outward from the center of a CD spinning at 200 revolutions per min. The static friction coefficient is 1.2 between the bug and cd. How far does the bug get from the center before slipping? https://www.physicsforums.com/Nexus/editor/menupop.gif [Broken]
https://www.physicsforums.com/Nexus/editor/menupop.gif [Broken]

3. The attempt at a solution
I started out by trying to find f by using "mu" * g and then trying to solve for r when i have f. So that f = "mu"*a , where a = ((2*pi)/T)^2*r. I don't know if im even on the right track.